Suppose you wish to compare the reaction times of people exposed to six different stimuli.

To eliminate the person-to-person variation in reaction time, four persons participated in the experiment and each person’s reaction time (in seconds) was measured for each of the six stimuli. The data are given in Table 15.10 (ranks of the observations are shown in parentheses).

Use the Friedman Fr-test to determine whether the data present sufficient evidence to indicate differences in the distributions of reaction times for the six stimuli. Test using a 5.05.

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Table 15.10 Reaction Times to Six Stimuli Stimulus Subject 1 2 3 4 5 1 .6 (2.5) .9 (6) .8 (5) .7 (4) .5 (1) 2 .7 (3.5) 1.1 (6) .7 (3.5) .8 (5) .5 (1.5) 3 .9 (3) 1.3 (6) 1.0 (4.5) 1.0 (4.5) .7 (1) 6 .6 (2.5) .5 (1.5) .8 (2) 4 .5 (2) .7 (5) .8 (6) .6 (3.5) .4 (1) .6 (3.5) Rank Sum T =11 T-23 T =19 T =17 T-4.5 T=9.5